A framework for the event-triggered stabilization of nonlinear systems

Romain Postoyan (1) , Paulo Tabuada (2) , Dragan Nesic (3) , Adolfo Anta (4)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 Cyber-Physical Systems Laboratory
3 Department of Electrical and Electronic Engineering [Melbourne]
4 Munich, Germany

Event-triggered control consists of closing the feed-back loop whenever a predefined state-dependent criterion is satisfied. This paradigm is especially well suited for embedded systems and networked control systems since it is able to reduce the amount of communication and computation resources needed for control, compared to the traditional periodic implementation. In this paper, we propose a framework for the event-triggered stabilization of nonlinear systems using hybrid systems tools, that is general enough to encompass most of the existing event-triggered control techniques, which we revisit and generalize. We also derive two new event-triggering conditions which may further enlarge the inter-event times compared to the available policies in the literature as illustrated by two physical examples. These novel techniques exemplify the relevance of introducing additional variables for the design of the triggering law. The proposed approach as well as the new event-triggering strategies are flexible and we believe that they can be used to address other event-based control problems.

Mots clés: Hybrid systems; Event-triggered control; Nonlinear systems; Sampled-data; Networked control systems

Domaines: Automatique / Robotique

Romain Postoyan, Paulo Tabuada, Dragan Nesic, Adolfo Anta. A framework for the event-triggered stabilization of nonlinear systems. IEEE Transactions on Automatic Control, 2015, 60 (4), pp.982-996. ⟨10.1109/TAC.2014.2363603⟩. ⟨hal-01108957⟩